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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-35/8, b>=a > For fixed z and a=-35/8, b=-31/8





http://functions.wolfram.com/07.23.03.bcfo.01









  


  








Input Form





Hypergeometric2F1[-(35/8), -(31/8), 7/2, -z] == -((1/(4913051 z^(5/2) (1 + z)^(5/8))) (64 (Sqrt[z] (-20 - 585 z - 95238 z^2 + 645645 z^3 - 1023880 z^4 + 470145 z^5 - 54590 z^6 + 731 z^7) Cos[(5 ArcTan[Sqrt[z]])/4] + (16 + 465 z + 14690 z^2 - 308165 z^3 + 952380 z^4 - 810953 z^5 + 194610 z^6 - 9315 z^7) Sin[(5 ArcTan[Sqrt[z]])/4])))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02